Pith Number

pith:SHJYWC5U

pith:2016:SHJYWC5U37XVCIQRDIH67FVSXL

not attested not anchored not stored refs pending

Collatz Numbers

A. C. Souza Filho, G. H. S. Costa

arxiv:1608.01418 v1 · 2016-08-04 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHJYWC5U37XVCIQRDIH67FVSXL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:09:52.501872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d38b0bb4dfef5122111a0fef96b2bac18483766f86ef3f8396c9e49817afb4

Aliases

arxiv: 1608.01418 · arxiv_version: 1608.01418v1 · doi: 10.48550/arxiv.1608.01418 · pith_short_12: SHJYWC5U37XV · pith_short_16: SHJYWC5U37XVCIQR · pith_short_8: SHJYWC5U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SHJYWC5U37XVCIQRDIH67FVSXL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 91d38b0bb4dfef5122111a0fef96b2bac18483766f86ef3f8396c9e49817afb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a44d0348a38660f18be641b1832569f28a2d1566ac828827310fa6feda686e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-08-04T03:32:43Z",
    "title_canon_sha256": "f55d950241b8f8e5ea42891162134d870535735250d5369bf18315ff016b3202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01418",
    "kind": "arxiv",
    "version": 1
  }
}